prove-that-n-1-ax-1-n-pi-a-n-lim-x-1-a-1-n-1-cotan-pix-n-1-

Question Number 108688 by abdomsup last updated on 18/Aug/20

p r o v e t h a t

\sum_{n = - \infty}^{\infty} \frac{1}{{(a x + 1)}^{n}}

= - \frac{π}{a^{n}} {l i m}_{x \to - \frac{1}{a}} \frac{1}{(n - 1)!} {c o t a n (π x)}^{(n - 1)}

Commented by mathdave last updated on 18/Aug/20

g o a h e a d a n d p r o v e d a t

Commented by mathmax by abdo last updated on 18/Aug/20

this question is not for you sir \dots

Commented by mathdave last updated on 18/Aug/20

i t h o u g h t h e a s k i n g m e t o p r o v e d a t

Commented by mathmax by abdo last updated on 18/Aug/20

no sir \dots